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Finding the Third Proportional to 51,740.50 and 110,862

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Solution

The third proportional to 51,740.50 and 110,862 is: 237,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,740.50 : 110,862 = 110,862 : x
  2. Step 2: Convert to fraction form
    51,740.50/110,862 = 110,862/x
  3. Step 3: Cross multiply
    51,740.50x = 110,862 × 110,862
  4. Step 4: Simplify right side
    51,740.50x = 12,290,383,044
  5. Step 5: Solve for x
    x = 12,290,383,044/51,740.50
  6. Step 6: Final answer
    x = 237,538.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.